826488420480 has 128 divisors (see below), whose sum is σ = 2927146550400. Its totient is φ = 220396907520.

The previous prime is 826488420413. The next prime is 826488420491. The reversal of 826488420480 is 84024884628.

826488420480 is a `hidden beast` number, since 8 + 2 + 64 + 8 + 84 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23897316 + ... + 23931875.

It is an arithmetic number, because the mean of its divisors is an integer number (22868332425).

Almost surely, 2^826488420480 is an apocalyptic number.

826488420480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

826488420480 is an abundant number, since it is smaller than the sum of its proper divisors (2100658129920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

826488420480 is a wasteful number, since it uses less digits than its factorization.

826488420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47829219 (or 47829201 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 826488420480 in words is "eight hundred twenty-six billion, four hundred eighty-eight million, four hundred twenty thousand, four hundred eighty".